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Topics to Review for the Final: Vector addition and subtraction Uniform accelerated motion Projectile Motion Newton’s Laws of motion 2nd law problems Work and work energy theorem Conservation of energy Power Impulse and momentum Conservation of Momentum Uniform circular motion Torque SHM Planetary motion Coulomb’s Law Electric fields and potential Gauss’s law Capacitors Electric Circuits Ohms law Kirchhoff’s rules RC circuits Forces on moving charges in magnetic fields Forces on current carrying wires in magnetic fields Ampere’s law Electromagnetic induction Faraday’s and Lenz’s law Midterm review for Mechanics 1) 5 electrons and 8 protons are separated by a distance of a half meter. a. What is the force of attraction? b. If one of the charges is doubled while keeping all else the same what will be the force? c. If the distance is halved what will be the attractive force? 2) A 20 g ball is suspended in an electric field of 20 N/C what is the angle is deflects if it has 30 electrons? 3) Using Gauss’s law derive the equation for the electric field of a point charge. 4) 3 protons and 5 electrons are separated by .5 meters. Find a location, on axis, where the total electric field is zero. What force would 1 C of charge experience at this location? 5) There are 3 C of charge on a parallel plate capacitor. If the capacitor is held at 120 volts what is the capacitance? 6) What is the function of a dielectric? How do they work? 7) Solve for all unknown currents, voltages, and resistances. 8) An electron enters a .5 tesla magnetic field. If the electron is traveling at 5400 m/s what is the radius of curvature? 9) A wire feels a force of 100 Newtons. If the wire is in a 2 T magnetic field what is the current in the wire. 10) A current travels towards the top of the page with a magnetic field to the left. What direction is the force on the page? 11) A negative charge travels to the left of this page. If the magnetic field is into the page what direction is the force on the charge? 12) A solenoid has a current the travels counter clockwise in the plane of the page from your perspective. What direction is the magnetic field at the center of the solenoid? 13) Give 3 examples of how to induce an emf in a loop of wire inside of a magnetic field. 14) The magnetic flux through 4 loops of wire is governed by the following equation: 3t2+2t. Find the induced emf at t =4s. 15) 3 capacitors, each of size 3 microfarads, are connected in parallel. The chain of capacitors are then connected to four 50 ohm resistors that are in series. What is the time constant of his circuit? What will be the capacitor voltage at t = 2 seconds if it is initially uncharged? 16) Explain how a faraday cage works. 17) What is the net electric flux through a sphere that has a charge .2 meters to the left of its exterior.
